Results 11 to 20 of about 547 (94)
Approximately cubic functional equations and cubic multipliers
Journal of Inequalities and Applications, 2011 In this paper, we prove the Hyers-Ulam stability and the superstability for cubic functional equation by using the fixed point alternative theorem. As a consequence, we show that the cubic multipliers are superstable under some conditions.
Alias Idham +2 more
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Lattictic non-archimedean random stability of ACQ functional equation
Advances in Difference Equations, 2011 In this paper, we prove the generalized Hyers-Ulam stability of the following additive-cubic-quartic functional equation 1 1 f ( x + 2 y ) + 1 1 f ( x - 2 y ) = 4 4 f ( x + y ) + 4 4 f ( x - y ) + 1 2 f ( 3 y ) - 4 8 f ( 2 ...
Saadati Reza, Cho Yeol
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Stability of an additive-quadratic-quartic functional equation
Demonstratio Mathematica, 2020 In this paper, we investigate the stability of an additive-quadratic-quartic functional ...
Kim Gwang Hui, Lee Yang-Hi
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Stability and hyperstability of multi-additive-cubic mappings
Miskolc Mathematical Notes, 2021 In this article, we introduce the multi-additive-cubic mappings and then unify the system of functional equations defining a multi-additive-cubic mapping to a single equation.
Ahmad Nejati +2 more
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New Stability Results of Multiplicative Inverse Quartic Functional Equations
Turkish Journal of Computer and Mathematics Education, 2021 The purpose of this investigation is to introduce different forms of multiplicative inverse functional equations, to solve them and to establish the stability results of them in the framework of matrix normed spaces.
Beri V. Senthil Kumar, Et. al.
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Hyperstability of Rassias-Ravi reciprocal functional equation
Miskolc Mathematical Notes, 2021 The investigation of stabilities of various types of equations is an interesting and evolving research area in the field of mathematical analysis. Recently, there are many research papers published on this topic, especially mixed type and multiplicative ...
B. S. Kumar, K. Al-Shaqsi, H. Dutta
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Demonstratio Mathematica, 2023 This article presents the general solution f:G→Vf:{\mathcal{G}}\to {\mathcal{V}} of the following functional equation: f(x)−4f(x+y)+6f(x+2y)−4f(x+3y)+f(x+4y)=0,x,y∈G,f\left(x)-4f\left(x+y)+6f\left(x+2y)-4f\left(x+3y)+f\left(x+4y)=0,\hspace{1.0em}x,y\in {\
Park Choonkil +4 more
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Hyers-Ulam stability of isometries on bounded domains
Open Mathematics, 2021 More than 20 years after Fickett attempted to prove the Hyers-Ulam stability of isometries defined on bounded subsets of Rn{{\mathbb{R}}}^{n} in 1981, Alestalo et al. [Isometric approximation, Israel J. Math.
Jung Soon-Mo
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Approximate modularity: Kalton's constant is not smaller than 3 [PDF]
, 2020 Kalton and Roberts [Trans. Amer. Math. Soc., 278 (1983), 803--816] proved that there exists a universal constant $K\leqslant 44.5$ such that for every set algebra $\mathcal{F}$ and every 1-additive function $f\colon \mathcal{F}\to \mathbb R$ there exists
Gnacik, Michal +2 more
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Open Mathematics, 2020 In Applied Mathematics Letters 74 (2017), 147–153, the Hyers-Ulam stability of the one-dimensional time-independent Schrödinger equation was investigated when the relevant system has a potential well of finite depth. As a continuous work,
Jung Soon-Mo, Choi Ginkyu
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